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Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. (3)/(7)÷(9)/(10) Answer:

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline37÷910 \frac{3}{7} \div \frac{9}{10} \newlineAnswer:

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Full solution

Q. Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline37÷910 \frac{3}{7} \div \frac{9}{10} \newlineAnswer:
  1. Understand division of fractions: Understand the division of fractions.\newlineTo divide one fraction by another, you multiply the first fraction by the reciprocal of the second fraction.
  2. Find reciprocal of second fraction: Find the reciprocal of the second fraction.\newlineThe reciprocal of (910)(\frac{9}{10}) is (109)(\frac{10}{9}).
  3. Multiply fractions: Multiply the first fraction by the reciprocal of the second fraction.\newline(37)÷(910)=(37)×(109)(\frac{3}{7}) \div (\frac{9}{10}) = (\frac{3}{7}) \times (\frac{10}{9})
  4. Perform multiplication: Perform the multiplication.\newline(37)×(109)=(3×107×9)=3063(\frac{3}{7}) \times (\frac{10}{9}) = (\frac{3 \times 10}{7 \times 9}) = \frac{30}{63}
  5. Simplify resulting fraction: Simplify the resulting fraction.\newlineBoth the numerator and the denominator are divisible by 33.\newline30÷3=1030 \div 3 = 10\newline63÷3=2163 \div 3 = 21\newlineSo, 3063\frac{30}{63} simplifies to 1021\frac{10}{21}.

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